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Not every successful blogger can boast of this number. As for YouTube, there are more than 65,000 subscribers. In particular, if the algorithm is run with a suitably decreasing exploration factor, the sequence of play converges to a bona fide Nash equilibrium with probability 1.The man has more than 12,000 followers on Twitter. In the bandit case, the same result holds for approximate Nash equilibria if we introduce a constant exploration factor that guarantees that action choice probabilities never become arbitrarily small. In the semi-bandit case, we show that the induced sequence of play converges almost surely to a Nash equilibrium at a quasi-exponential rate. To establish convergence with minimal information requirements on the players' side, we focus on two frameworks: the semi-bandit case (where players have access to a noisy estimate of their payoff vectors, including strategies they did not play), and the bandit case (where players are only able to observe their in-game, realized payoffs). This paper examines the equilibrium convergence properties of no-regret learning with exponential weights in potential games. Bibtex Metadata Paper Reviews SupplementalĪmélie Heliou, Johanne Cohen, Panayotis Mertikopoulos Abstract
